Download or read book DEUX QUESTIONS DE LA THEORIE DES SYSTEMES DYNAMIQUES LA CONJUGAISON TOPOLOGIQUE ET LES FLOTS SUR LE TORE written by Jean-Marie Strelcyn and published by . This book was released on 1975 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: CONJUGAISON TOPOLOGIQUE DANS LES GROUPES LINEAIRES. STRICTE ERGODICITE DES FLOTS SPECIAUX. FLOTS SUR LE TORE ET NOMBRES DE ROTATION

Download or read book Th orie des syst mes dynamiques une introduction written by Luís Barreira and published by EDP Sciences. This book was released on 2023-11-06T00:00:00+01:00 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre est une introduction à la théorie des systèmes dynamiques. On étudie les systèmes dynamiques topologiques, en basse dimension, hyperboliques et symboliques, ainsi que, brièvement, la théorie ergodique. Le livre peut être utilisé comme manuel pour un cours d’un ou deux semestres pour les étudiants de niveau avancé de licence ou les étudiants des cycles supérieurs. Il peut aussi être utilisé pour une étude indépendante et comme point de départ pour l’étude de sujets plus spécialisés. L’exposition est directe et rigoureuse. En particulier, tous les résultats sont prouvés. Le texte comprend de nombreux exemples qui illustrent en détail les concepts et les résultats, ainsi que 140 exercices, avec différents niveaux de difficulté.

Download or read book THEOREMES DE CONJUGAISON DANS LES SYSTEMES DYNAMIQUES HYPERBOLIQUES written by Servet Martínez and published by . This book was released on 1979 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: THEORIE ERGODIQUE METRIQUE. SYSTEMES DYNAMIQUES TOPOLOGIQUES. L'ENTROPIE TOPOLOGIQUE. SYSTEMES DYNAMIQUES DIFFERENTIABLES

Download or read book Des quations diff rentielles aux syst mes dynamiques II written by Robert Roussarie and published by EDP Sciences. This book was released on 2023-11-23T00:00:00+01:00 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage s'adresse aux étudiants d'un master de mathématiques ou de physique théorique, mais il peut aussi être employé avec profit par toute personne cherchant des informations sur les aspects topologiques de la théorie des systèmes dynamiques. Il est une introduction à certains aspects de la théorie des systèmes dynamiques s'appuyant sur la théorie développée dans le tome I, publié dans la même collection (Théorie élémentaire des équations différentielles avec éléments de topologie différentielle). On ne propose pas un exposé systématique du sujet. Les auteurs ont voulu, au contraire, se concentrer sur quelques thèmes de nature assez topologique et les développer avec détails, comme par exemple les idées de René Thom sur généricité et transversalité, l'étude locale au voisinage des singularités hyperboliques, la stabilité structurelle... La théorie des bifurcations est largement présentée, ainsi que les résultats et méthodes de cette théorie pour les champs de vecteurs de dimension 2. Chaque chapitre est illustré par de nombreux exemples.

Download or read book Structure des syst mes dynamiques written by Jean-Marie Souriau and published by . This book was released on 1970 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Syst mes dynamiques topologiques et mesur s written by Jean-François Bertazzon and published by . This book was released on 2010 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Il y a de nombreuses manières d’aborder l’étude des systèmes dynamiques. De manière générale, on munit un espace initial de structures adaptées et on s’intéresse au comportement moyen des itérés d’une application qui préserve les structures initiales. Les propriétés intéressantes peuvent être par exemple, d’origine topologique, mesurable, algébrique ou encore différentiable. La théorie ergodique est principalement concentrée sur les systèmes dynamiques mesurés. D’autre part, une autre branche de la théorie ergodique s’intéresse à des questions dites de représentation des systèmes dynamiques mesurés.Un des aspects de cette théorie est de lier les systèmes dynamiques mesurés aux systèmes dynamiques topologiques. On s’intéressera plus particulièrement au lien entre les systèmes dynamiques topologiques,mesurés et algébriques. Les nilsystèmes ont pris ces dernières années une nouvelle dimension en théorie ergodique. Ils généralisent très naturellement les translations sur des groupes abéliens compacts, et en particulier, les rotations du cercle. On fera un lien partiel entre les propriétés algébriques et symboliques d’une famille bien choisie de nilsystèmes. On s’intéressera notamment à la notion d’induction pour de tels systèmes

Download or read book Des quations diff rentielles aux syst mes dynamiques written by Robert Roussarie and published by . This book was released on 2012 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage s'adresse aux étudiants d'un master de mathématiques ou de physique théorique, mais il peut aussi être employé avec profit par toute personne cherchant des informations sur les aspects topologiques de la théorie des systèmes dynamiques. Il est une introduction à certains aspects de la théorie des systèmes dynamiques s'appuyant sur la théorie développée dans le tome I, publié dans la même collection (Théorie élémentaire des équations différentielles avec éléments de topologie différentielle). On ne propose pas un exposé systématique du sujet. Les auteurs ont voulu, au contraire, se concentrer sur quelques thèmes de nature assez topologique et les développer avec détails, comme par exemple les idées de René Thom sur généricité et transversalité, l'étude locale au voisinage des singularités hyperboliques, la stabilité structurelle. La théorie des bifurcations est largement présentée, ainsi que les résultats et méthodes de cette théorie pour les champs de vecteurs de dimension 2. Chaque chapitre est illustré par de nombreux exemples.

Download or read book Integrable Systems written by V. Babelon and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.

Download or read book Global Analysis and Its Applications written by and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Billiards written by Serge Tabachnikov and published by SMF. This book was released on 1995 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lectures on Representations of Surface Groups written by François Labourie and published by . This book was released on 2013 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of view (combinatorial, differential, and algebraic) and is interested in the description of its smooth points, symplectic structure, volume and connected components. He also shows how a three manifold bounded by the surface leaves a trace in this character variety. These notes were originally designed for students with only elementary knowledge of differential geometry and topology. In the first chapters, the author does not focus on the details of the differential geometric constructions and refers to classical textbooks, while in the more advanced chapters proofs occasionally are provided only for special cases where they convey the flavor of the general arguments. These notes might also be used by researchers entering this fast expanding field as motivation for further studies. The concluding paragraph of every chapter provides suggestions for further research.

Download or read book Geometry and Billiards written by Serge Tabachnikov and published by American Mathematical Soc.. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards. The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense. A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincare recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations. The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry. This volume has been copublished with the Mathematics Advanced Study Semesters program at Penn State.

Download or read book Freud and War written by Marlene Belilos and published by Routledge. This book was released on 2018-03-29 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the rise of fascism and anti-Semitism in Germany, Albert Einstein wrote to Sigmund Freud asking the fundamental question: What can be done to liberate humanity from the menace of war? The psychoanalyst replied at length and their exchange of letters (reproduced here) was published in March 1933 under the title Why War?. The book would be included in the book burnings in Berlin on 10th of May that year. Why War? is important in Freud's work because in it he develops a fundamental idea that leads him to conclude that the life and death drives are linked - a thought that he had already entertained in works such as Death and Us (1915), which is also included here. In a terrible irony, Freud dedicated a copy of Why War? to Mussolini, who nonetheless instituted a police investigation of its author. The contributors to this volume explore the reasons underlying the dedication, as well as giving their own reflections on the genesis of war.

Download or read book Arnold s Problems written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2004-06-24 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research

Download or read book Africa Since 1935 written by Unesco. International Scientific Committee for the Drafting of a General History of Africa and published by Univ of California Press. This book was released on 1999 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hardcover edition of volume 8 was published in 1994. This paperback edition is the eighth and final volume to be published in the UNESCO General History of Africa. Volume 8 examines the period from 1935 to the present, and details the role of African states in the Second World War and the rise of postwar Africa. This is one of the most important books in the entire series, and as such, it is an unabridged paperback.

Download or read book Mies in America written by Ludwig Mies van der Rohe and published by ABRAMS. This book was released on 2001 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mies in America offers readers a deeper immersion into Mies's thought than has been attempted before. Venturing a more complex response than the familiar reading of Mies as a grand master of modernism, these essays retrace the genesis of Mies's design in order to uncover his ambitions, investigate the implicit outlines of the Miesian city, follow the process of designing for America, and look at Mies as a touchstone for contemporary practice."--Jacket.

Download or read book Sampling in Combinatorial and Geometric Set Systems written by Nabil H. Mustafa and published by American Mathematical Society. This book was released on 2022-01-14 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.